The Mathematical Association of America Maryland-District of Columbia-Virginia Section

Talks Given at Section Meetings, 1967-1976

Section Meeting 98: University of Virginia, April 22, 1967

1. Green's Matrix for a Linear Difference System
   A. L. Deal, Virginia Military Institute
2. On the Brown method of fictitious play for two-person zero sum games
   Stephen Jauregui, Jr., Bethesda, MD
3. Existence and uniqueness properties of subfunctions of Boolean functions
   R. E. Schwartz, Institute for Defense Analyses, Arlington, VA
4. A very fast integrator for orbital computation
   E. H. Weiss, I BM Federal Systems Division, Gaithersburg, MD
5. Some Comments on Existence and Uniqueness Theorems in Applied Mathematics with an Application to Thin Airfoil Theory
   Professor A. G. Mackie, Institute for Fluid Dynamics and Applied Mathematics, University of Maryland, Invited Address
6. Two point boundary value problems and their application to celestial mechanics
   R. L. Stallard, IBM Federal Systems Division, Gaithersburg, MD
7. The geometric configurations associated with the osculating quadrics at a point of an analytic surface
   P. D. Thomas, Naval Research Laboratory, Washington, DC
8. New methods of calculating Bessel functions of integral order and complex argument
   A. S, Elder, Aberdeen, MD

Section Meeting 99: Morgan State College, December 9, 1967

The Reverse Cauchy-Schwarz Inequality
Professor Monroe Martin, University of Maryland

1. Representations of Quadratic Forms
   Sister John Frances Gilman, Saint Joseph College, Emmittsburg, MD
2. The Inverse Malfatti Problem
   Michael Goldberg, Washington DC
3. An Experiment in Game Theory
   Benjamin L Schwartz, The Mitre Corporation
4. The Energy of a Charged Capacitor
   Worth J. Young, Emory and Henry College

1. What is Area?
   
2. The Theorem of the Mean
   

Section Meeting 100: Old Dominion College, April 27, 1968

1. The Practice of Applied Mathematics
   Dr. Walter P. Reid, Naval Ordnance Laboratory, Silver Spring, MD
2. Mathematical Legends: Separating Wheat from Chaff
   Dr. W. J. Schneider, Syracuse University

1. Another derivation of Green's matrix
   A. L. Deal, Virginia Military Institute
2. A characterization of the additive group of real numbers
   Eleanor G. Dawley Jones, Virginia State College
3. Fourier analysis of spatial waves
   R. L. Stallard, IBM, Wheaton, MD
4. Sets of polynomials orthogonal siinultaneously on four ellipses
   Ruth Goodman, Westinghouse Electric Corp., Baltimore, MD
5. Mathematical analysis of wave motion in a doubly connected inhomogeneous region
   Y. C. Lim, Westinghouse Electric Corp., Baltimore, MD
6. A note on parentheses
   S. R. Herron and E. F. Storm, University of Virginia
7. A common form for special solutions of the radial heat equation
   R. A. Kowalski, Westinghouse Defense and Space Center, Baltimore, MD
8. Compactness and certain subclasses of Schlicht functions
   R. A. Whiteman, IIT Research Institute, Annapolis, MD

Section Meeting 101: Goucher College, November 23, 1968

Mathematics in Topography
G. F. Temple, Sedleian Professor of Natural Philosophy, Oxford University and Visiting Research Professor, Institute for Fluid Dynamics and Applied Mathematics, University of Maryland

1. A formula for the enumeration of Latin rectangles
   F. W. Light, Jr., Bel Air, MD
2. Real solutions of classes of polynomial equations
   S. B. Jackson, University of Maryland
3. Parades and geometry
   Miss Marguerite Lehr, formerly of Bryn Mawr College, now of Salisbury, MD
4. Self-interchange graphs
   B. L. Schwartz, The Mitre Corporation, Bailey's Crossroads, VA
5. Pythagorean triads and square triangular numbers
   R. H. Anglin, Danville, VA

The Relevance of the MAA to our Section Colleges and Junior Colleges
Geraldine Coon, Goucher College
Earl Embree, Morgan State College
Jorg Mayer, George Mason College
William Swyter, Montgomery Junior College
Alfred Willcox, Executive Director, MAA

Section Meeting 102: University of Maryland, April 26, 1969

1. Some Remarks on the Calculus of Variations
   C. B. Morrey, Jr., University of California, Berkeley
2. Dissection Problems in Two and Three Dimensions
   Michael Goldberg, formerly with the Navy Department

1. The enrichment of calculus courses through concurrent use of a computer
   F. W. Terry, Hood College
2. Generalized skew-symmetric, orthogonal matrices
   J. M. Smith, George Mason College of the University of Virginia
3. A topic from Mikusinski's operational calculus
   Mark Lesley, Old Dominion College, Norfolk, VA
4. Fibonacci representations of Pythagorean triplets
   R. H. Anglin, Danville, VA
5. Applications programs for time-sharing computers
   Calvin Cillay, General Electric Company, Bethesda, MD
6. Mathematical models to predict travel demand
   Richard Ku, National Bureau of Standards

Section Meeting 103: United States Naval Academy, October 17-18, 1969

Keynote Address
Dr. A. F. Spilhaus , American Association for Advancement of Science

1. Dynamic topology
   Professor G. T. Whyburn, Johns Hopkins University, Chauvenet 1936 (read by Professor E. E. Floyd, University of Virginia as a memorial tribute to Professor Whyburn)
2. Hamiltonian mechanics
   Saunders MacLane, University of Chicago, Chauvenet, 1941
3. Complex methods in harmonic analysis
   Guido Weiss, University of Washington, Chauvenet, 1967
4. Finite dimensional Hilbert spaces
   Paul R. Halmos, Indiana University, Chauvenet, 1947
5. A look at probability and analysis
   Mark Kac, Rockefeller University, Chauvenet, 1950, 1968

Section Meeting 104: University of Richmond, April 25, 1970

1. Incorporating Applications on Mathematics into Undergraduate Courses
   Peter Lax, Courant Institute of Mathematical Sciences, New York University
2. Origins of Mathematics
   Joseph Gurfein, Federal City College

1. Potential theory of Markov chains
   Ryszard Syski, University of Maryland
2. Quaternions and binary quadratic forms
   Bart Rice, Louisiana State University and Defense Atomic Support Agency, Washington, DC
3. Generalizations of the complex number system to higher dimensional spaces
   William Hale, Radford College
4. Recursive Pythagorean sequences
   Robert Anglin, Dan River Mills, Danville, VA

Section Meeting 105: Northern Virginia Community College, Annadale, November 21, 1970

A New Look at the Four-Color Conjecture
Dr. Ruth Bari, George Washington University

1. Space filling pentahedra
   Michael Goldberg, Washington, DC
2. Peano-like postulates for natural numbers
   R. F. McCoart, Loyola College of Maryland
3. Polynomial identities in non-commutative algebras
   Jerry Karaganis, American University
4. Behavioral objectives and the teaching of mathematics
   J. M. Smith, George Mason College
5. Self-paced learning of calculus
   Arnold Stokes, Georgetown University
6. Generalized functions in elementary calculus
   R. L. Eiseman, USAF and University of Maryland

Section Meeting 106: Loyola College of Maryland, Spring, 1971

Section Meeting 107: George Mason College, November 20, 1971

1. Pitfalls in automatic computations or how to keep out of trouble with computers
   Dr. H. J. Oser, National Bureau of Standards
2. Number theory and computers
   Dr. Morris Newman, National Bureau of Standards

1. A generalization of univalent functions with bounded boundary rotation
   E. J. Moulis, Jr., Frostburg State College
2. Kurosh's problem in the commutative setting
   J. P. Jones, Frostburg State College

Section Meeting 108: University of Virginia, April 29, 1972

A numerical analysis course developed by Ben Noble David Schneider, University of Maryland On the minimum motion of a moved line segment Michael Goldberg, Washington, DC

1. A note on Scarborough's geometry of iteration
   C. H. Frick, U.S. Naval Weapons Laboratory
2. Multidimensional spline interpolation
   R. N. Desmarias, NASA, Langley, VA
3. Properties of anti-involutory matrices
   J. M. Smith, George Mason University
4. Uniform spaces of countably paracompact character
   P. A. Pittas, Lynchburg Leaming Center
5. Maximal compact subtopologies
   J. A. Bond, Jr., Saint Paul's College
6. Notes on endomorphism rings of torsion-free abelian groups
   Eleanor Green Jones, Norfolk State College
7. Peano-like axioms for the integers
   Leon Harkleroad, George Mason University
8. An example in mathematical logic
   Donald Cook and M. A. Maddi, Hollins College
9. Decision trees
   J. S. Irvine, University of Virginia
10. A mathematics preparatory program for underprivileged students
    S. E. Goodman, University of Virginia
11. On the bar structure in barred spiral galaxies
    W. W. Roberts, Jr., and Cheryl G. Tropf, University of Virginia
12. Radiation conditions and a uniqueness theorem for the n-dimensional wave equation in a infinite domain
    S. R. Srivastava, Bowie State College

Section Meeting 109: United States Naval Academy, November 18, 1972

England was Lost on the Playing Fields of Eton: A Parable for Mathematics
Dr. A. B. Willcox, Executive Director, MAA

1. A system for position-location based on ranges
   D. J. Sookne, National Bureau of Standards
2. The solution of a fourth-order partial differential equation using the method of lines
   L. A. Kurtz, Hollins College
3. Incidence geometries and Latin squares
   W. M. Sanders, Madison College
4. When may we conclude from a monadic characterization that a topological property is hereditary?
   R. A. Herrmann, U.S. Naval Academy
5. Infinite numerical triangle
   A. L. Brown, Retired, Alexandria, VA
6. Norms of powers of absolutely convergent Fourier series of two variables
   C. H. Heiberg, Virginia Wesleyan College
7. Compatible elements in implicative models
   E. L. Marsden, Hollins College.
8. The application of mathematical models to satellite orientation
   J. W. Kennedy, Computer Sciences Corporation

Section Meeting 110: Hampton Institute, April 28, 1973

Finite Groups and Error-Correcting Codes
Dr. A. I. Thaler, National Science Foundation

1. Triangles generated by powers of triplets on the unit circle
   C. R. Johnson, National Bureau of Standards
2. Compatibility of polyhedra
   B. L. Schwartz, McLean, VA
3. On the structure of ultraproducts of abelian groups
   R. M . Chapman , Hampton Institute
4. A geometric motivation for the existence of more irrationals than rationals
   H. L. Schoen, Virginia Polytechnic Institute and State University
5. S . Generalized sample spaces and Dacey morphisms
   W . R . Collins, Christopher Newport College
6. On the number of Hamiltonian circuits in the N-cube
   Ed Dixon, University of Virginia
7. The p-group of a graph
   L. W. Shapiro, Howard University

Section Meeting 111: Towson State College, November 17, 1973

A Metallurgical Application of Topology—An Elementary Introduction to Algebraic Topology
Dr. Lida K. Barrett, University of Tennessee

Secondary Mathematics in Maryland and Virginia—The Present and the Future
James Henkelman, University of Maryland
Edgar Edwards, Virginia State Department of Education
Vincent Brandt, Baltimore County Public Schools
James Fey, University of Maryland

Section Meeting 112: George Washington University, April 27, 1974

Solving Equations Exactly
Dr. C. R. Johnson, National Bureau of Standards

1. Rings and Catalan numbers
   L. W. Shapiro, Howard University
2. The implications of short-term memory research for the learning of mathematics
   H. B. Tunis, University of Maryland
3. Applications of non-Euclidean geometry to physics
   Hanna Nekvasil, Washington, DC
4. Covering a square by equal circles
   Michael Goldberg, Washington, DC
5. Invariance of the essential spectra of ordinary differential operators
   T. W. Prevatt, The Johns Hopkins University.
6. A simple set -theoretic characterization for proximity spaces
   R. A. Herrmann, U. S. Naval Academy
7. Working with large scale transportation and communications networks in the computer
   Judith F. Gilsinn, National Bureau of Standards
8. Tests of randomness of Maryland Lottery numbers
   B. A. Knoppers, Mathematica, Inc
9. Oscillation matrices and partial differential systems
   L. A. Kurtz, Hollins College
10. The holor representation of raw materials measures
    Vivian E. Spencer, University of Connecticut
11. The four-color theorem for small maps
    Walter Stromquist, Department of the Treasury
12. The multiplication of determinants
    D. C. Lewis, Jr., The Johns Hopkins University
13. The algebraic structure of network problems
    D. R. Shier, National Bureau of Standards
14. Dense groups of primes
    A. L. Brown, Alexandria, VA
15. How many non-Euclidean geometries are there?
    C. J. Maloney, Bethesda, MD

Section Meeting 113: Montgomery College, Rockville, November 23, 1974

Period Three Implies Chaos
Dr. James Yorke, University of Maryland

1. Non-parametric statistics
   E. G. Swafford, U.S. Naval Academy
2. Non-constant variance regression analysis
   M. S. Hellman, Potomac, MD
3. Planes, cubes, and center representable polyhedra
   L. S. Joel, D. R. Shier, and Marjorie L. Stein, National Bureau of Standards.
4. Matrix representation of linear codes
   H. M. Beck, Oxon Hill, MD
5. The personalized system of instruction and the learning vector
   Norman Locksley, University of Maryland
6. Mini-courses in mathematics
   David Russell, Prince George's Community College
7. Pre-service mathematics for teachers
   J. M. Smith, George Mason University
8. Small-group instruction in mathematics courses
   R. E. Hildebrand, University of Maryland
9. Use of the computer in a traditional calculus course
   Linda R. May, Salisbury State College
10. Individualization of mathematics for college certificate programs
    H. V. Ellis, Jr., Paul D. Camp Community College
11. Position versus momentum in quantum mechanics
    Andrew Vogt, Georgetown University
12. Flexing the hexaflexagon
    Bruce McLean, Madison College
13. The much-maligned divergent series
    D. L. Parker, Salisbury State College
14. Smoothness of norms and Banach spaces
    J. F. Kent, University of Richmond
15. Spiral-like injections of [0, ∞) in the plane
    W. L. Young, U.S. Naval Academy
16. Hamilton orbit generator (HOG)
    H. Siddalingaiah, Computer Sciences Corporation
17. The "Canonization" of conicoids on Univac 1106
    Lew Kowarski, Morgan State College
18. Prohibition against time
    Dean Spencer, Q. E. D. Systems, Inc

Section Meeting 114: Madison College, April 26, 1975

Content and Presentation of Lower Division Mathematics
Hilda R. Findley-Knier, Washington, DC
R. M. Davis, Northern Virginia Community College
Jack Nachman, University of Maryland
C. W. S. Ziegenfus, Madison College

1. Some computer generated non-singular matrices over the ring Z/(m)
   W. M. Sanders, Madison College
2. Starlike and spiral-like functions
   J. N. Walbert, Aberdeen, MD
3. Close-to-convex functions
   R. J. Shores, Lynchburg College
4. Partial orderings of the group of integers
   Russel Belding, U. S. Naval Academy
5. N-associative groupoids
   W. P. Wardlaw, U. S. Naval Academy
6. Accelerating mathematics instruction for the mathematically talented
   W. C. George, Johns Hopkins University.
7. Mathematical education for gifted female adolescents
   Lynn H. Fox, Johns Hopkins University.
8. Casting out cultural artifacts in the pre-calculus curriculum
   Hilda R. Findley-Knier, Washington, DC
9. Time-shared interactive computer-controlled information television (TICCIT)
   R. M. Davis, Northern Virginia Community College
10. 2-metric properties of 2-normed lattices
    Ann Miller, University of Maryland, Eastern Shore
11. The pencil balanced on its point does not topple over
    W. A. Barwick, College Park, Maryland.
12. Introduction to geometric programming
    Patrick Hayes, Analytical Services
13. Partitioning the reals into two additive subsets
    George Crofts, Virginia Polytechnic Institute and State University
14. Several new space-filling polyhedra
    Michael Goldberg, Washington, DC
15. History of topological spaces and separation
    C. E. Aull, Virginia Polytechnic Institute and State University

Section Meeting 115: Georgetown University, November 22, 1975

Groups and Riemann Surfaces
Dr. Leon Greenberg, University of Maryland

1. Mathematics of Flatland Mirrors
   W.A. Barwick, Jr., College Park, MD
2. Placement and Prescription: Another approach to individualized instruction
   William Steger, Essex Community College
3. Here' s the Last Flaw
   C.J, Maloney, Bethesda, MD
4. Mathematics in Colonial America
   Sister Marie Augustine Dowling, College of Notre Dame of Maryland
5. The relationship between multinomials and nth dimensional Pascal' s Spaces
   A.P. Crotts, Jr., Georgetown University
6. A mathematics preparatory program for minority students: a post-mortem examination
   S.E. Goodman, University of Virginia
7. A note on Nim
   B.L. Schwartz, Department of the Navy
8. A course in the application of mathematics: A model building approach
   D.C. Cathcart, Salisbury State College
9. Variously restricted occupancy theory, or, how ( unrestricted ) formal "communes" may facilitate mathemati- cal education
   John Hays, Reston, VA
10. Optimal allocation of inspection resources
    Martin Pearl, National Bureau of Standards
11. A linear algebra approach to non-stationary Markov Chains
    J. C. Hennessey, Loyola College of Maryland
12. Some aspects of gambling
    Anthony Mucci, University of Maryland
13. Algorithms for transit information
    Judith F. Gilsinn, National Bureau of Standards
14. How to trivialize many results in topology
    R.A. Herrmann, U.S. Naval Academy
15. Two notes on numerical integration
    T.S. Schreiber, Fairfax, V

Section Meeting 116: Bowie State College, April 24, 1976

1. Matrices, eigenvalues, and complex projective space
   Jay Alexander, University of Maryland
2. Trends in school mathematics
   Henry Walbesser, University of Maryland, Baltimore Campus

1. A useful approximation to the error function
   Thomas S. Schreiber, Fairfax, VA
2. A minimum covering scheme by neighborhoods for Boolean values data
   Jong C. Wang, Center for Energy Systems, General Electric
3. Playing with curves
   Richard Holzager, American University
4. Reflection orbits in a tetrahedron
   Michael Goldberg, Washington, DC
5. Automata in Semiotic-Dimensional Space
   John Hays, Laurel Ridge Conservation Center

Section Meeting 117: Virginia Commonwealth University, November 20, 1976

The Unification of Mathematics, Fiction or Reality?
Carolyn A Maher, Rutgers University

1. Back-to-the-wall team play in the World Series
   B. L. Schwartz, Analytical Services, Inc
2. A solution to a placement problem
   Carla B. Oviatt and K. S. Weiner, Montgomery College
3. Mathematics in today's world
   B. A. Fusaro, Salisbury State College
4. Applications of test surfunctions
   John Schmeelk, Virginia Commonwealth University
5. The triangle is rigid, a direct proof
   C. J. Maloney, Department of Health, Education, and Welfare
6. The hypervolume enclosed by the unit n-sphere goes to zero as the dimension goes to infinity
   W. E. Hoover, U.S. Naval Air Test Center (Patuxent)
7. Maximal separable subfields
   Bonnie Page Danner , Virginia Commonwealth University
8. Continuous sup
   G. M. Bryce, Randolph-Macon College
9. On the history of the generalized Stokes theorem
   V. J. Katz, Federal City College
10. An intuitive approach to L'Hospital's rule
    R. E. Allen, Virginia Commonwealth University.
11. Which second -order linear integral recurrences have at most all prime divisors?
    Lawrence Somer, Washington, D.C.
12. The solution of congruences by Euclid 's algorithm
    R. H. Anglin, Dan River, Inc
13. Generalized Hermite-Birkhoff interpolation
    Jerrold Rosenbaum, Virginia Commonwealth University